Zobrazeno 1 - 10
of 37
pro vyhledávání: '"Aizawa, Naruhiko"'
In this paper we present a general framework to construct integrable $\mathbb{Z}_2^2$-graded extensions of classical, two-dimensional Toda and conformal affine Toda theories. The scheme is applied to define the extended Liouville and Sinh-Gordon mode
Externí odkaz:
http://arxiv.org/abs/2406.13503
Autor:
Aizawa, Naruhiko, Sato, Haru-Tada
Publikováno v:
Nucl, Phys. B995 (2023) 116336
We discuss the Curtright-Zachos (CZ) deformation of the Virasoro algebra and its extentions in terms of magnetic translation (MT) group in a discrete Bloch electron system, so-called the tight binding model (TBM), as well as in its continuous system.
Externí odkaz:
http://arxiv.org/abs/2303.17347
Autor:
Doi, Shunya, Aizawa, Naruhiko
Publikováno v:
SIGMA 17 (2021), 071, 14 pages
Quantum mechanical systems whose symmetry is given by $\mathbb{Z}_2^3$-graded version of superconformal algebra are introduced. This is done by finding a realization of a $\mathbb{Z}_2^3$-graded Lie superalgebra in terms of a standard Lie superalgebr
Externí odkaz:
http://arxiv.org/abs/2103.10638
Publikováno v:
In Nuclear Physics, Section B June 2023 991
Autor:
Aizawa, Naruhiko, Kato, Tadanori
Publikováno v:
Symmetry 7 (2015) 1989-2008
We construct, for any given $ \ell = \frac{1}{2} + {\mathbb N}_0, $ the second-order \textit{nonlinear} partial differential equations (PDEs) which are invariant under the transformations generated by the centrally extended conformal Galilei algebras
Externí odkaz:
http://arxiv.org/abs/1506.04377
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Publikováno v:
SIGMA 11 (2015), 002, 19 pages
The conformal Galilei algebra (CGA) is a non-semisimple Lie algebra labelled by two parameters $d$ and $\ell$. The aim of the present work is to investigate the lowest weight representations of CGA with $d = 1$ for any integer value of $\ell$. First
Externí odkaz:
http://arxiv.org/abs/1408.4842
Publikováno v:
Int. J. Math. 23 (2012), 1250118
We investigate the representations of a class of conformal Galilei algebras in one spatial dimension with central extension. This is done by explicitly constructing all singular vectors within the Verma modules, proving their completeness and then de
Externí odkaz:
http://arxiv.org/abs/1204.2871
Autor:
Aizawa, Naruhiko, Isaac, Phillip S
Publikováno v:
J. Phys. A: Math. Theor. 44 (2011) 035401
We investigate the representations of the exotic conformal Galilei algebra. This is done by explicitly constructing all singular vectors within the Verma modules, and then deducing irreducibility of the associated highest weight quotient modules. A r
Externí odkaz:
http://arxiv.org/abs/1010.4075
Publikováno v:
Int.J.Mod.Phys. A12 (1997) 5867-5883
Based on the quantum superspace construction of $q$-deformed algebra, we discuss a supersymmetric extension of the deformed Virasoro algebra, which is a subset of the $q$-$W_{\infty}$ algebra recently appeared in the context of two-dimensional string
Externí odkaz:
http://arxiv.org/abs/hep-th/9706176